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5657569920 = 27325982217
BaseRepresentation
bin1010100010011011…
…11010101010000000
3112121021201022220200
411101031322222000
543041314214140
62333221205200
7260125356642
oct52115725200
915537638820
105657569920
112443607022
12111a860800
136c2163312
143b9552892
15231a47030
hex15137aa80

5657569920 has 96 divisors (see below), whose sum is σ = 19536316020. Its totient is φ = 1508683776.

The previous prime is 5657569901. The next prime is 5657569921. The reversal of 5657569920 is 299657565.

It is a happy number.

5657569920 is a `hidden beast` number, since 5 + 6 + 57 + 569 + 9 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5291689536 + 365880384 = 72744^2 + 19128^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5657569921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485349 + ... + 496868.

Almost surely, 25657569920 is an apocalyptic number.

It is an amenable number.

5657569920 is an abundant number, since it is smaller than the sum of its proper divisors (13878746100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5657569920 is a wasteful number, since it uses less digits than its factorization.

5657569920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982242 (or 982227 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The square root of 5657569920 is about 75216.8193956644. The cubic root of 5657569920 is about 1781.8725738069.

The spelling of 5657569920 in words is "five billion, six hundred fifty-seven million, five hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 982217 1964434 2946651 3928868 4911085 5893302 7857736 8839953 9822170 11786604 14733255 15715472 17679906 19644340 23573208 29466510 31430944 35359812 39288680 44199765 47146416 58933020 62861888 70719624 78577360 88399530 94292832 117866040 125723776 141439248 157154720 176799060 188585664 235732080 282878496 314309440 353598120 377171328 471464160 565756992 628618880 707196240 942928320 1131513984 1414392480 1885856640 2828784960 5657569920